Search results

• Table
  :''This page is about the function that reshapes into a table. For the operator that generates a table of all combinations, see [[Outer Product]].'' For arrays of [[rank]] 1 or higher, the result is identical to applying Ravel to major cells:
  4 KB (381 words) - 15:33, 17 March 2024
• Each
  {{Built-in|Each|¨}} is a [[primitive operator|primitive]] [[monadic operator]] which applies its [[operand]] to each [[element]] of the [[argument]]s, a ...Under]] operator with [[close composition]] along with the [[Function rank|rank]]-0 function [[Disclose]] (or Unbox). In [[SHARP APL]] this is written <syn
  5 KB (488 words) - 22:16, 10 September 2022
• Scalar extension
  ...ally extending the scalar to function as though it were an array of higher rank. === Rank extension ===
  8 KB (947 words) - 03:06, 20 February 2024
• Scan
  ...can|<nowiki>\</nowiki>|⍀}} is a [[primitive operator|primitive]] [[monadic operator]] which takes a [[dyadic function]] [[operand]] and produces a [[monadic fu ...tained. That being said, unlike [[Reduce]], [[Scan]] does not reduce the [[rank]] of its argument, i.e. performing a scan over an N-dimensional [[array]] w
  1 KB (165 words) - 21:02, 10 September 2022
• Rationalized APL
  | function styles = definition operator ...introduced were later incorporated into [[J]]. It also featured the [[Rank operator]], invented by [[Arthur Whitney]] the previous year, just prior to its incl
  1 KB (170 words) - 08:49, 26 July 2021
• Leading axis theory
  ...tly using [[function rank]] or explicitly using the [[Rank (operator)|Rank operator]]. It was initially developed in [[SHARP APL]] in the early 1980s and is no ...perator is the reason to define functions on the leading axes: by applying Rank to a leading-axis function, the function can be made to work on any axis or
  10 KB (1,238 words) - 21:46, 10 September 2022
• Strand notation
  ...amming if unrelated arrays are stranded together. This issue occurs when [[operator]]s are allowed to take array [[operand]]s, and can be resolved by inserting ...APL]], [[NARS2000]], [[APL.68000]], and others, arrays are stranded before operator or function evaluation.
  3 KB (397 words) - 10:34, 11 September 2022
• Mix
  ...e same shape, or they may be extended in shape (with [[fill element]]s) or rank to fit a common shape. In all APLs Mix allows a [[simple array]] argument, ...and combine the results. Based on SHARP's definition of [[Rank (operator)|Rank]], the arrays to be combined were required to have the same [[shape]], and
  7 KB (900 words) - 18:27, 29 January 2024
• Rotate
  ...using <syntaxhighlight lang=apl inline>⊖</syntaxhighlight> with the [[Rank operator]]. ...arrays can be rotated on an arbitrary axis if [[function axis]] or [[Rank operator]] is supported:
  5 KB (626 words) - 22:15, 10 September 2022
• Axis
  ...ne dimension along which the [[element]]s of an array are organized. The [[rank]] of an array is the number of axes it has, and the [[shape]] is the list o ...ite this, the choice to make a positive operand to Rank specify a [[cell]] rank, while a negative operand specifies a [[frame]] length, weakly suggests an
  3 KB (444 words) - 22:29, 10 September 2022
• Cell
  ...ht> are called '''k-cells''' of an array. A [[major cell]] is a cell whose rank is one less than the entire array, or a 0-cell of a [[scalar]]. The k-cells of an array with [[rank]] <syntaxhighlight lang=apl inline>r</syntaxhighlight> share the last <synt
  7 KB (1,106 words) - 22:16, 10 September 2022
• Under
  ...nline>¨</syntaxhighlight>), is a [[primitive operator|primitive]] [[dyadic operator]] which takes two [[function]] [[operand]]s. It pre-processes its argument( ...highlight lang=apl inline>f¨g</syntaxhighlight> has the overall [[function rank]] of <syntaxhighlight lang=apl inline>g</syntaxhighlight>. This allows <syn
  5 KB (664 words) - 13:35, 17 February 2024
• Subarray
  ...he term sub-array may also be used to refer part of an array with lesser [[rank]] (i.e. a [[cell]]) or [[depth]].'' ...ght call such subarrays ''equal-rank'' subarrays. Otherwise a subarray has rank less than or equal to its containing array.
  3 KB (442 words) - 09:27, 14 September 2022
• Empty array
  ...using the [[Rank operator]] on an array with no [[cell]]s of the specified rank. Because the shape of each result cell might be determined by values in an ...inal result. In this case, this succeeds in finding the appropriate result rank but not the desired shape.
  5 KB (810 words) - 22:29, 10 September 2022
• Deal
  ...ng=apl inline>?⍤0</syntaxhighlight>, which uses the [[Rank (operator)|rank operator]] <syntaxhighlight lang=apl inline>⍤</syntaxhighlight>.
  4 KB (521 words) - 16:54, 8 February 2023
• Function axis
  ...cification in favor of the [[Rank operator]] because it is a fully general operator while the behavior of functions with axis must be defined for each function ...erride [[conformability]] rules: it specifies , for each axis in the lower-rank (or left, in case of a tie) argument, which axis in the other argument it i
  6 KB (878 words) - 05:12, 11 November 2022
• Ngn/apl
  * [[Rank (operator)|Rank (operator]] (<syntaxhighlight lang=apl inline>⍤</syntaxhighlight>) * the identity element operator (<syntaxhighlight lang=apl inline>⍁</syntaxhighlight>)
  5 KB (553 words) - 12:25, 31 August 2023
• Raze
  ...hape or an error results; in J, lower-rank arrays are promoted to a higher rank and arrays are padded with fills to a common major cell shape. ...rgument as singleton vectors, a convention which may be viewed as [[scalar rank extension]] or as a result of the idea that a scalar's only [[major cell]]
  6 KB (812 words) - 23:25, 29 January 2024
• Reduce
  ...uction''' or '''Insert''', is a [[primitive operator|primitive]] [[monadic operator]] which takes a [[dyadic function]] [[operand]], inserts it between the [[e ...r an axis other than the first is performed via the [[Rank (operator)|Rank operator]], which [[mix|mixes]] the results into a flat array.
  4 KB (570 words) - 19:11, 26 June 2023
• Reverse
  ...using <syntaxhighlight lang=apl inline>⊖</syntaxhighlight> with the [[Rank operator]]. ...he <syntaxhighlight lang=apl inline>1+r-k</syntaxhighlight>'th axis of a [[rank]]-<syntaxhighlight lang=apl inline>r</syntaxhighlight> array.
  6 KB (554 words) - 22:20, 10 September 2022

View (previous 20 | next 20) (20 | 50 | 100 | 250 | 500)